Answer:
8 π or
25.13 unit^3 to the nearest hundredth.
Step-by-step explanation:
(A)
The height of the shell is (2 + x - x^2) and the radius is (2 - x).
V = 2π ∫(2 - x)(x + 2 - x^2) dx between the limits x = 0 and x = 2.
= 2π ∫ (2x + 4 - 2x^2 - x^2 - 2x + x^3) dx
= 2π ∫ (x^3 - 3x^2 + 4 ) dx
= 2π [ x^4/4 - x^3 + 4x ] between x = 0 and x = 2
= 2 π [4 - 8 + 8 )
= 2 π * 4
= 8π
= 25.13 unit^3 to the nearest hundredth.
Answer: 113.04
Step-by-step explanation: The equation for the area of a circle is pi r squared so you have to find the radius first. To find the radius, find the diameter first. A way to do this which was easiest for me was dividing 37.68 by pi (3.14), which is 12. Divide the diameter by 2 to find the radius, 6.
Now use the equation from the beginning, pi r squared. So plug in pi as 3.14, then the radius as 6. It is important to always square the radius first, which would be 36. Now multiply 36 by 3.14, and there should be your answer.
Answer:
x = -5/9
Step-by-step explanation:
9x + 5 = 0
x = -5/9
if this is incorrect then ur question is missing something
<h3>
Answer</h3>
They are being multiplied by 2 each time.
Answer:
(-1,9)
Step-by-step explanation:
y = -3x + 6
y = 9
-3x + 6 = 9
-3x = 3
x = -1
y is already given as 9, but you can solve for y by plugging the x value into y = -3x + 6,
-3(-1) + 6 = 9
(-1,9)
